Finding the Fourth Proportional to 11,377,716,409,687, 15,701,264,193,797 and 6,175,145,158,728
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Solution
The fourth proportional to 11,377,716,409,687, 15,701,264,193,797 and 6,175,145,158,728 is: 8,521,708,757,803.55
Step by Step Solution
- Step 1: Write the proportion equation
11,377,716,409,687 : 15,701,264,193,797 = 6,175,145,158,728 : x - Step 2: Convert to fraction form
11,377,716,409,687/15,701,264,193,797 = 6,175,145,158,728/x - Step 3: Cross multiply
11,377,716,409,687x = 15,701,264,193,797 × 6,175,145,158,728 - Step 4: Simplify right side
11,377,716,409,687x = 96,957,585,572,234,834,665,799,680 - Step 5: Solve for x
x = 96,957,585,572,234,834,665,799,680/11,377,716,409,687 - Step 6: Final answer
x = 8,521,708,757,803.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.